Average Error: 29.8 → 29.8
Time: 8.8s
Precision: binary64
Cost: 13120
\[\frac{1 - \cos x}{\sin x}\]
↓
\[\frac{1 - \cos x}{\sin x}\]
\frac{1 - \cos x}{\sin x}
↓
\frac{1 - \cos x}{\sin x}
(FPCore (x) :precision binary64 (/ (- 1.0 (cos x)) (sin x)))
↓
(FPCore (x) :precision binary64 (/ (- 1.0 (cos x)) (sin x)))
double code(double x) {
	return (1.0 - cos(x)) / sin(x);
}
↓
double code(double x) {
	return (1.0 - cos(x)) / sin(x);
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original29.8
Target0.0
Herbie29.8
\[\tan \left(\frac{x}{2}\right)\]

Derivation

  1. Initial program 29.8

    \[\frac{1 - \cos x}{\sin x}\]

Reproduce

herbie shell --seed 2021027 
(FPCore (x)
  :name "tanhf (example 3.4)"
  :precision binary64
  :herbie-expected 2

  :herbie-target
  (tan (/ x 2.0))

  (/ (- 1.0 (cos x)) (sin x)))